Maths – Algebra Equation and Inequation

1. Solve for x:  (x-2)/(x-1) = (x+4)/(2x+2)

 
 
 
 

2. Solve for a:  a2 = 36

 
 
 
 

3. Solve for x:   0.7x + 2(x – 3) = 0.2x + 3

 
 
 
 

4. Lightning quickly heats the air causing it to expand, which produces the sound of thunder.  Sound travels approximately 1 mile in 5 seconds.  Knowing  D = r • t  (where D = distance, r = rate, and t = time), how far away is a thunderstorm when you notice a 3-second delay between the flash of lightning and the sound of thunder?

 
 
 
 

5. Solve for c:   5c – 4 – 2c + 1 = 8c + 2

 
 
 
 

6. Given  y = 3^x,  evaluate y when x = 3.

 
 
 
 

7. The graph of  y = 2^x  lies in which Quadrants?

 
 
 
 

8. Solve for y:   xy – d = m

 
 
 
 

9. Solve for y:  2y^2 + 4 = 9y

 
 
 
 

10. Which value of x is in the solution set of the inequality:     -2x + 5 > 17 ?

 
 
 
 

11. Solve for y:   y² – 81 = 0

 
 
 
 

12. Which inequality is represented by the graph at the right?

maths-algebra-18

 
 
 
 

13. If 12x = 4(x + 3) then x equals

 
 
 
 

14. Solve:   2x – 5 > x – 2

 
 
 
 

15. The larger root of the equation (x + 4)(x – 3) = 0 is

 
 
 
 

16. Which set of points is in the solution set for the system of inequalities:  x – y > 1 and  y < 2x – 1.

 
 
 
 

17. Which point is a solution to this linear quadratic system?  y = x^2 + 4x +3 and y = 2x + 6

 
 
 
 

18. The graph of y = 2^x contains which of these points?

 
 
 
 

19. If you multiply an inequality by a negative number, when should you reverse the inequality symbol?

 
 
 
 

20. Solve for m:  8(m + 5) = 16

 
 
 
 

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